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Q: Is there a factor tree for odd numbers?

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No odd whole numbers have 12 as a factor. 1 and 3 are odd numbers that are factors of 12.

All nonzero numbers have factors. Some factors are odd numbers. 3 is an odd factor of 12.

All odd numbers have odd factors.

All nonzero numbers have factors. Some factors are odd numbers. The largest of these would be the greatest odd factor. Of course, the greatest odd factor of any odd number is the number itself.

No. Seven is odd, for example, and does not have three as a factor.

Odd numbers

All whole numbers have factors.

No, odd numbers don't have even factors.

Yes.

Yes.

No. A few counterexamples include the numbers 1, 5, 7, and 11, which are all odd numbers but of which 3 is not a factor.

Of course not. In fact, the greatest common factor of two odd numbers is never 2.-- 2 is never a factor of any odd number.-- The greatest common factor of the odd numbers 651 and 1,085 is 217.

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